(A)(i) Use the Quotient Rule to differentiate the function
h(x) = 1 + In x (x > 0)
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Please can somone help me before I pull my hair.
Thank you in advance
$\displaystyle h(x) = \frac{1 + ln x}{x}$
$\displaystyle h'(x) = \frac{(1 + ln x)'(x) - (x)'(1 + ln x)}{x^2}$
$\displaystyle h'(x) = \frac{(\frac{1}{x})(x) - (1)(1 + ln x)}{x^2}$
$\displaystyle h'(x) = \frac{(1 - (1 + ln x)}{x^2}$
$\displaystyle h'(x) = \frac{(-ln x)}{x^2}$